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Simplifying 0.85x = 100 + 0.08 * 0.85x Multiply 0.08 * 0.85 0.85x = 100 + 0.068x Solving 0.85x = 100 + 0.068x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.068x' to each side of the equation. 0.85x + -0.068x = 100 + 0.068x + -0.068x Combine like terms: 0.85x + -0.068x = 0.782x 0.782x = 100 + 0.068x + -0.068x Combine like terms: 0.068x + -0.068x = 0.000 0.782x = 100 + 0.000 0.782x = 100 Divide each side by '0.782'. x = 127.8772379 Simplifying x = 127.8772379
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